关于渐近的伪轨跟踪性质

On the asymptotic pseudo orbit tracing property

证明APOTP(渐近伪轨跟踪性质)是在映射迭代以及拓扑共轭下不变的性质;讨论了有限积空间上积映射的APOTP并证明无限积空间上移位映射具有APOTP.

In this paper,we show that the APOTP(the asymptotic ps eu do orbit tracing property) is invariant under both the iterates of map and the t opological conjugacy.We also discuss the APOTP of the product map on the finite product space and show that the shift map on infinite product space has the APOT P.